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Finding the Fourth Proportional to 430,937.60, 646,406.40 and 135,449.60

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Solution

The fourth proportional to 430,937.60, 646,406.40 and 135,449.60 is: 203,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,937.60 : 646,406.40 = 135,449.60 : x
  2. Step 2: Convert to fraction form
    430,937.60/646,406.40 = 135,449.60/x
  3. Step 3: Cross multiply
    430,937.60x = 646,406.40 × 135,449.60
  4. Step 4: Simplify right side
    430,937.60x = 87,555,488,317.44
  5. Step 5: Solve for x
    x = 87,555,488,317.44/430,937.60
  6. Step 6: Final answer
    x = 203,174.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.